Question

14. Sum and difference of two angle of triangle are 80° and 20"
respectively then third angle is
1) 520
2) 62°
3) 159 4) 100°​

Answer 1

Answer:

Step-by-step explanation:

Let two angles be x° and y° .

Given, x° + y = 80°

          x° - y° = 20°

Now, add both the equations ( left side with left  and right side with right)

we get, 2x° = 100°

or x = 50°

put this value of x back in first equation,

hence 50° + y°= 80°

or, y = 80° - 50° = 30°

So, both angles are  50° and 30°

Answer 2

Answer:

100°

Step-by-step explanation:

Let three angles of the triangle are x, y and z.

x+y=80°

By angle sum property,

x+y+z=180°

80°+z=180°

z=180°-80°

z=100°

So, the third angle is 100°